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Finding the Fourth Proportional to 301.64, 416.28 and 185.24

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Solution

The fourth proportional to 301.64, 416.28 and 185.24 is: 255.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.64 : 416.28 = 185.24 : x
  2. Step 2: Convert to fraction form
    301.64/416.28 = 185.24/x
  3. Step 3: Cross multiply
    301.64x = 416.28 × 185.24
  4. Step 4: Simplify right side
    301.64x = 77,111.71
  5. Step 5: Solve for x
    x = 77,111.71/301.64
  6. Step 6: Final answer
    x = 255.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.